① dy =
35yx4 yco )
-
5 find
yal
DX
f35x4dx
( dy
=
y
3.5×52 7×5
lnlyl = + C =
-1C
5
Ieee ?x5
ly I
=
'
"
(x ) Ae A tea A -
O
y
- -
=
, ,
"'
lo) 5 -
Acc )
-
>
Cx ) =
Se
y
=
y
② dy ) =
4 CX ) ( o) -
6 find
t cos ex cos
y y
-
y
DX
dy =
(4 y ) -
cos Cx )
DX
dig =
cos X DX
4
y
-
fcosxax
faddy
=
1h14 ) sin x t C
y
- - =
-
sinxtc
4 e
Y
-
=
4
sin "
K ee
-
t ke -
y
=
,
-
Sino
co ) =
4 t ke =
4 + K 6 → K =
2
y
=
- sins
4 tze
y
=
, ③ dig =i8xy (O ,
e ) find
my
ax (my )b
'
y
=
18×2
( thy )6
'
Mex )
Nly )
=
y
.
Nlg )
=
1h44 ,
Mex ) =18×
y
Ily) dy =
is
y
LHS RHS
U =
thy U -
substitution fl8Xdx
gig f dy you
= → -
18 fxdx
1+1
ubyaui 18
power rule
l -11
Y
18×2
26+1
Ubdu power rule
7
9×2
a- I
=
6-11 7
1h14 undo u -
substitution
7
.in#j--9xZtc
'
.
7
replace co ,
e )
inlet
C
=3
=
7=9×2
Ly
'
<
.
t
7
>
(Ing) =
63×2+1
"?
thy =
( 63×2+1 )
35yx4 yco )
-
5 find
yal
DX
f35x4dx
( dy
=
y
3.5×52 7×5
lnlyl = + C =
-1C
5
Ieee ?x5
ly I
=
'
"
(x ) Ae A tea A -
O
y
- -
=
, ,
"'
lo) 5 -
Acc )
-
>
Cx ) =
Se
y
=
y
② dy ) =
4 CX ) ( o) -
6 find
t cos ex cos
y y
-
y
DX
dy =
(4 y ) -
cos Cx )
DX
dig =
cos X DX
4
y
-
fcosxax
faddy
=
1h14 ) sin x t C
y
- - =
-
sinxtc
4 e
Y
-
=
4
sin "
K ee
-
t ke -
y
=
,
-
Sino
co ) =
4 t ke =
4 + K 6 → K =
2
y
=
- sins
4 tze
y
=
, ③ dig =i8xy (O ,
e ) find
my
ax (my )b
'
y
=
18×2
( thy )6
'
Mex )
Nly )
=
y
.
Nlg )
=
1h44 ,
Mex ) =18×
y
Ily) dy =
is
y
LHS RHS
U =
thy U -
substitution fl8Xdx
gig f dy you
= → -
18 fxdx
1+1
ubyaui 18
power rule
l -11
Y
18×2
26+1
Ubdu power rule
7
9×2
a- I
=
6-11 7
1h14 undo u -
substitution
7
.in#j--9xZtc
'
.
7
replace co ,
e )
inlet
C
=3
=
7=9×2
Ly
'
<
.
t
7
>
(Ing) =
63×2+1
"?
thy =
( 63×2+1 )
